3293455872 has 320 divisors, whose sum is σ = 10647318528. Its totient is φ = 884736000.

The previous prime is 3293455861. The next prime is 3293455889. The reversal of 3293455872 is 2785543923.

It is a super-2 number, since 2×3293455872² = 21693703161622560768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13665672 + ... + 13665912.

Almost surely, 2^3293455872 is an apocalyptic number.

3293455872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3293455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323659264).

3293455872 is an abundant number, since it is smaller than the sum of its proper divisors (7353862656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3293455872 is a wasteful number, since it uses less digits than its factorization.

3293455872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 3293455872 is about 57388.6388756520. The cubic root of 3293455872 is about 1487.8207669423.

The spelling of 3293455872 in words is "three billion, two hundred ninety-three million, four hundred fifty-five thousand, eight hundred seventy-two".